2503082640 has 160 divisors (see below), whose sum is σ = 8122622976. Its totient is φ = 636444160.

The previous prime is 2503082639. The next prime is 2503082651. The reversal of 2503082640 is 462803052.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2503082598 and 2503082607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2577355 + ... + 2578325.

Almost surely, 2^2503082640 is an apocalyptic number.

2503082640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2503082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061311488).

2503082640 is an abundant number, since it is smaller than the sum of its proper divisors (5619540336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2503082640 is a wasteful number, since it uses less digits than its factorization.

2503082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2503082640 is about 50030.8169031848. The cubic root of 2503082640 is about 1357.7664173273.

Adding to 2503082640 its reverse (462803052), we get a palindrome (2965885692).

The spelling of 2503082640 in words is "two billion, five hundred three million, eighty-two thousand, six hundred forty".